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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

यदि दो समीकरणों का कोई सामान्य हल नहीं है तो वे किस प्रकार के युग्म हैं?

If two equations have no common solution then what type of pair are they?

Explanation opens after your attempt
Correct Answer

C. असंगतInconsistent

Step 1

Concept

Having no common solution identifies an inconsistent pair. In a graph it appears as distinct parallel lines.

Step 2

Why this answer is correct

The correct answer is C. असंगत / Inconsistent. Having no common solution identifies an inconsistent pair. In a graph it appears as distinct parallel lines.

Step 3

Exam Tip

कोई सामान्य हल न होना असंगत युग्म की पहचान है। ग्राफ में यह अलग समानांतर रेखाओं जैसा दिखता है।

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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

यदि \(a_1/a_2=b_1/b_2 \ne c_1/c_2\), तो कौन-सा ग्राफीय निष्कर्ष सही है?

If \(a_1/a_2=b_1/b_2 \ne c_1/c_2\), which graphical conclusion is correct?

Explanation opens after your attempt
Correct Answer

C. अलग समानांतर रेखाएंDistinct parallel lines

Step 1

Concept

If the first two ratios are equal and the third differs, the lines are parallel and distinct. Therefore, there is no common solution.

Step 2

Why this answer is correct

The correct answer is C. अलग समानांतर रेखाएं / Distinct parallel lines. If the first two ratios are equal and the third differs, the lines are parallel and distinct. Therefore, there is no common solution.

Step 3

Exam Tip

पहले दो अनुपात बराबर और तीसरा अलग हो तो रेखाएं समानांतर और अलग होती हैं। इसलिए कोई सामान्य हल नहीं होता।

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Question Hard Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

यदि \(a_1/a_2=b_1/b_2 \ne c_1/c_2\), तो ग्राफ में कौन-सी स्थिति बनेगी?

If \(a_1/a_2=b_1/b_2 \ne c_1/c_2\), which situation will occur in the graph?

Explanation opens after your attempt
Correct Answer

C. अलग समानांतर रेखाएंDistinct parallel lines

Step 1

Concept

If the first two ratios are equal and the third differs, the lines are parallel and distinct. Therefore, there is no common solution.

Step 2

Why this answer is correct

The correct answer is C. अलग समानांतर रेखाएं / Distinct parallel lines. If the first two ratios are equal and the third differs, the lines are parallel and distinct. Therefore, there is no common solution.

Step 3

Exam Tip

पहले दो अनुपात बराबर और तीसरा अलग हो तो रेखाएं समानांतर और अलग होती हैं। इसलिए कोई सामान्य हल नहीं होता।

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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

यदि \(a_1/a_2=b_1/b_2 \ne c_1/c_2\) हो तो ग्राफ में कौन-सी स्थिति बनेगी?

If \(a_1/a_2=b_1/b_2 \ne c_1/c_2\) then which situation will occur in the graph?

Explanation opens after your attempt
Correct Answer

C. अलग समानांतर रेखाएंDistinct parallel lines

Step 1

Concept

If the first two ratios are equal and the third differs the lines are parallel and distinct. Therefore no common solution is obtained.

Step 2

Why this answer is correct

The correct answer is C. अलग समानांतर रेखाएं / Distinct parallel lines. If the first two ratios are equal and the third differs the lines are parallel and distinct. Therefore no common solution is obtained.

Step 3

Exam Tip

पहले दो अनुपात बराबर और तीसरा अलग हो तो रेखाएं समानांतर और अलग होती हैं। इसलिए कोई सामान्य हल नहीं मिलता।

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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

यदि दो रेखाओं की ढाल समान लेकिन अवरोध अलग हो, तो सही निष्कर्ष क्या है?

If two lines have the same slope but different intercepts, what is the correct conclusion?

Explanation opens after your attempt
Correct Answer

B. कोई हल नहींNo solution

Step 1

Concept

Same slope and different intercepts make the lines distinct parallel. Therefore, there is no common solution.

Step 2

Why this answer is correct

The correct answer is B. कोई हल नहीं / No solution. Same slope and different intercepts make the lines distinct parallel. Therefore, there is no common solution.

Step 3

Exam Tip

समान ढाल और अलग अवरोध रेखाओं को अलग समानांतर बनाते हैं। इसलिए कोई सामान्य हल नहीं होता।

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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

यदि दो रेखाओं की ढाल समान लेकिन (y)-अवरोध अलग हो, तो कौन-सा निष्कर्ष सही है?

If two lines have the same slope but different (y)-intercepts, which conclusion is correct?

Explanation opens after your attempt
Correct Answer

B. कोई हल नहींNo solution

Step 1

Concept

Same slope and different intercepts make the lines distinct parallel. Therefore, there is no common solution.

Step 2

Why this answer is correct

The correct answer is B. कोई हल नहीं / No solution. Same slope and different intercepts make the lines distinct parallel. Therefore, there is no common solution.

Step 3

Exam Tip

समान ढाल और अलग अवरोध रेखाओं को अलग समानांतर बनाते हैं। इसलिए कोई सामान्य हल नहीं होता।

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Question Medium Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

यदि \(a_1/a_2=b_1/b_2 \ne c_1/c_2\), तो युग्म के बारे में सही कथन क्या है?

If \(a_1/a_2=b_1/b_2 \ne c_1/c_2\), which statement about the pair is correct?

Explanation opens after your attempt
Correct Answer

C. यह असंगत हैIt is inconsistent

Step 1

Concept

If the first two ratios are equal and the third differs, the lines are distinct parallel. Therefore, there is no common solution.

Step 2

Why this answer is correct

The correct answer is C. यह असंगत है / It is inconsistent. If the first two ratios are equal and the third differs, the lines are distinct parallel. Therefore, there is no common solution.

Step 3

Exam Tip

पहले दो अनुपात बराबर और तीसरा अलग हो तो रेखाएं अलग समानांतर होती हैं। इसलिए कोई सामान्य हल नहीं होता।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 60

समीकरण (5x+10y=25) और (x+2y=6) के लिए हलों की संख्या क्या होगी?

What will be the number of solutions for (5x+10y=25) and (x+2y=6)?

Explanation opens after your attempt
Correct Answer

C. कोई हल नहींNo solution

Step 1

Concept

Here (5/1=10/2) but (25/6) is different so the lines are parallel and distinct. Such lines have no common solution.

Step 2

Why this answer is correct

The correct answer is C. कोई हल नहीं / No solution. Here (5/1=10/2) but (25/6) is different so the lines are parallel and distinct. Such lines have no common solution.

Step 3

Exam Tip

यहां (5/1=10/2) लेकिन (25/6) अलग है इसलिए रेखाएं समानांतर और अलग हैं। ऐसी रेखाओं का कोई सामान्य हल नहीं होता।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

यदि दो रेखाओं की ढाल समान लेकिन अवरोध अलग हो तो युग्म कैसा होगा?

If two lines have the same slope but different intercepts then what type of pair will it be?

Explanation opens after your attempt
Correct Answer

B. असंगतInconsistent

Step 1

Concept

Same slope and different intercepts make the lines parallel and distinct. Therefore there is no common solution.

Step 2

Why this answer is correct

The correct answer is B. असंगत / Inconsistent. Same slope and different intercepts make the lines parallel and distinct. Therefore there is no common solution.

Step 3

Exam Tip

समान ढाल और अलग अवरोध से रेखाएं समानांतर और अलग होती हैं। इसलिए कोई सामान्य हल नहीं होता।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 59

कौन-सा कथन असंगत युग्म के लिए सही है?

Which statement is correct for an inconsistent pair?

Explanation opens after your attempt
Correct Answer

B. उसमें कोई हल नहीं होताIt has no solution

Step 1

Concept

An inconsistent pair has no common solution. Identify it in a graph by distinct parallel lines.

Step 2

Why this answer is correct

The correct answer is B. उसमें कोई हल नहीं होता / It has no solution. An inconsistent pair has no common solution. Identify it in a graph by distinct parallel lines.

Step 3

Exam Tip

असंगत युग्म में कोई सामान्य हल नहीं होता। इसे ग्राफ में अलग समानांतर रेखाओं से पहचानें।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

किस स्थिति में दो रैखिक समीकरणों का युग्म असंगत कहलाता है?

In which case is a pair of two linear equations called inconsistent?

Explanation opens after your attempt
Correct Answer

A. जब कोई हल न होWhen there is no solution

Step 1

Concept

An inconsistent pair has no common solution. In a graph, it appears as parallel lines.

Step 2

Why this answer is correct

The correct answer is A. जब कोई हल न हो / When there is no solution. An inconsistent pair has no common solution. In a graph, it appears as parallel lines.

Step 3

Exam Tip

असंगत युग्म का कोई सामान्य हल नहीं होता। ग्राफ में यह समानांतर रेखाओं से दिखता है।

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